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gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:concerns
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gptkb:Probability_theory
Integration
Lebesgue measure
Measurable functions
Measures
Sigma-algebras
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gptkbp:developedBy
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gptkb:Émile_Borel
gptkb:Henri_Lebesgue
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gptkbp:field
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gptkb:Mathematics
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gptkbp:hasConcept
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gptkb:Hausdorff_measure
gptkb:Carathéodory's_extension_theorem
gptkb:Dominated_convergence_theorem
gptkb:Fatou's_lemma
gptkb:Fubini's_theorem
gptkb:Hahn_decomposition
gptkb:Lebesgue_integral
gptkb:Monotone_convergence_theorem
gptkb:Vitali_set
Jordan decomposition
Absolute continuity
Borel set
Complete measure
L^p spaces
Measurable set
Measurable space
Measure space
Non-measurable set
Null set
Outer measure
Pre-measure
Probability measure
Product measure
Pushforward measure
Radon measure
Sigma-finite measure
Signed measure
Simple function
Singular measure
Total variation
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gptkbp:hasSubfield
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Analysis
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https://www.w3.org/2000/01/rdf-schema#label
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Measure Theory
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gptkbp:introducedIn
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Early 20th century
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gptkbp:notableBook
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gptkb:Measure_Theory_by_Paul_Halmos
gptkb:Measure_and_Integral_by_Wheeden_and_Zygmund
gptkb:Real_and_Complex_Analysis_by_Walter_Rudin
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gptkbp:usedIn
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gptkb:Probability_theory
Ergodic theory
Functional analysis
Harmonic analysis
Mathematical physics
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gptkbp:bfsParent
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gptkb:Paul_Halmos
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gptkbp:bfsLayer
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4
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